Finding the Third Proportional to 729 and 1,971
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Solution
The third proportional to 729 and 1,971 is: 5,329
Step by Step Solution
- Step 1: Write the proportion equation
729 : 1,971 = 1,971 : x - Step 2: Convert to fraction form
729/1,971 = 1,971/x - Step 3: Cross multiply
729x = 1,971 × 1,971 - Step 4: Simplify right side
729x = 3,884,841 - Step 5: Solve for x
x = 3,884,841/729 - Step 6: Final answer
x = 5,329
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.